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Finding the Fourth Proportional to 7,850, 11,778.26 and 4,890.92

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Solution

The fourth proportional to 7,850, 11,778.26 and 4,890.92 is: 7,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850 : 11,778.26 = 4,890.92 : x
  2. Step 2: Convert to fraction form
    7,850/11,778.26 = 4,890.92/x
  3. Step 3: Cross multiply
    7,850x = 11,778.26 × 4,890.92
  4. Step 4: Simplify right side
    7,850x = 57,606,527.40
  5. Step 5: Solve for x
    x = 57,606,527.40/7,850
  6. Step 6: Final answer
    x = 7,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.